JAMB 2015 · UTME · Q21

The graphical method of solving the equation x3+3x2+4x−28=0x^3 + 3x^2 + 4x - 28 = 0 is by drawing the graphs of the curves

Worked solution (try it first)
  1. Move the constant to the right: x3+3x2+4x=28x^3 + 3x^2 + 4x = 28.
  2. Divide every term by xx: x2+3x+4=28xx^2 + 3x + 4 = \dfrac{28}{x}.
  3. So the roots are where y=x2+3x+4y = x^2 + 3x + 4 meets y=28xy = \dfrac{28}{x}, option D.

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